What is It In solving problems involving sets with the use of Venn diagram, different steps must be followed. These are: Step 1: GIVEN (Identify the given.) Step 2: SETS (Identify the number of sets to be used.) Step 3: DRAW (Draw the Venn diagram using the given data.) Step 4: ANSWER (Answer the questions.) Illustrative Example 1 Questions: A class of 38 students from Grade 7 were surveyed and asked if they have cats or dogs at home. Ten students said that they have a dog only. Eight students said that they have a cat only. Fourteen students said that they have both a cat and a dog. Six students said that they don't have either a cat or a dog. a. How many students have a dog? b. How many students have a cat? c. How many students have both a cat and a dog? d. How many students don't have either a cat or a dog? Solution: Step 1: GIVEN (Identify the given.) 38 - total number of students from Grade 7 10 - students who have a dog 8 students who have a cat 14 students who have both a dog and a cat 6 students who don't have a dog or a cat Step 2: SETS (Identify the number of sets to be used.) There are two (2) sets specified in the problem, a dog and a cat. Step 3: DRAW (Draw the Venn diagram using the given data.) Dog Cat U 10 114 8 Step 4: ANSWER (Answer the questions.) a. How many students have a dog? b. How many students have a cat? C. How many students have both a cat and a dog? d. How many students don't have either a cat or a dog? 10+ 14 = 24 14 + 8 = 22 14 6​